Curve Fitting Methods

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What kind of curve-fitting method would be best to find an equation (if there is one) for this curve?

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This is an hyperpola. The fitting if very good. See below the method used and the details of the calculus.

Only a small number of points were taken from your graph thanks to graphical scanning.

The calculus and drawing were done with MathCad.

The notations and the equation come from https://mathworld.wolfram.com/QuadraticCurve.html

enter image description here